Mathematics: Adiameter of a circle has endpoints a (-6, -8) and b (2, 10). find the center of the circle. find the radius. if your answer is not an integer, express it in radical form. write an equation for the circle.

Adiameter of a circle has endpoints a (-6, -8) and

Ответ:

jozlynn

13.03.2022

The first thing we must do for this case is to use the formula of the midpoint to find the center of the circle.
We have then:
$C = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2}) 
$
Substituting values we have:
$C = ( \frac{-6 + 2}{2} , \frac{-8 + 10}{2})$
$C = ( \frac{-4}{2} , \frac{2}{2})$
C = (-2, 1)

We are now looking for the radius of the circle. For this, we use the formula of distance between points.
We have then:
$r = \sqrt{(x2-x1)^2 + (y2-y1)^2}$
Substituting values we have:
$r = \sqrt{(2-(-2))^2 + (10-1)^2}$
$r = \sqrt{(4)^2 + (9)^2}$
$r = \sqrt{16 + 81}$
$r = \sqrt{97}$
We now write the standard equation of the circle:
(x-xo)^2 + (y-yo)^2 = r^2

Substituting values we have:
(x+2)^2 + (y-1)^2 = 97

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Ответ:

zahrast14

11.11.2020

Mathematics

Using cross multiplication, 102/120=x/100 ---> 120x=10200 divide the entire problem by 120 ---> 85. 102 is 85% of 120, so the item has dropped in price by 15%

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Adiameter of a circle has endpoints a (-6, -8) and b (2, 10). find the center of the circle. find the radius. if your answer is not an integer, express it in radical form. write an equation for the circle.

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